因式分解(x方+xy+y方)的平方-4xy(x方+y方)急

问题描述:

因式分解(x方+xy+y方)的平方-4xy(x方+y方)

(x²+xy+y²)²-4xy(x²+y²)
=(x²+y²)²+x²y²+2xy(x²+y²)-4xy(x²+y²)
=(x²+y²)²+x²y²-2xy(x²+y²)
=(x²+y²-xy)²

(x^2+xy+y^2)^2-4xy(x^2+y^2)
=(x^2+y^2)^2+2xy(x^2+y^2)+x^2y^2-4xy(x^2+y^2)
=(x^2+y^2)^2-2xy(x^2+y^2)+x^2y^2
=(x^2+y^2-xy)^2